On the maximal operators of Vilenkin-Fejéer means
Authors : George Tephnadze
Pages : 308-318
Doi:10.3906/mat-1010-438
View : 8 | Download : 5
Publication Date : 9999-12-31
Article Type : Makaleler
Abstract :The main aim of this paper is to prove that the maximal operator \overset{\sim}{s}\astf:=\underset{n \in P} \sup\frac{|s nf|}{\log2 (n+1)} is bounded from the Hardy space H1/2 to the space L1/2, where s nf are Fejér means of bounded Vilenkin-Fourier series.Keywords : Vilenkin system, Fejéer means, martingale Hardy space